Advances in Algebra

This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing research in algebraic geometry, ring theory, group theory, and associative algebras. Topics include algebraic groups, combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry. Since 1988, SRAC has been an important event for the algebra research community in the Gulf Coast Region and surrounding states, building a strong network of algebraists that fosters collaboration in research and education. This volume is suitable for graduate students and researchers interested in recent findings in computational and theoretical methods in algebra and representation theory.

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1)Tin-Yau Tam Hyperbolic Geometry and Geometric Mean of Positive Definite Matrices2) Mark Lewis Ultraspecial p-Groups 3) Daryl Granario Ballantine's Theorem on Sp4) Kathuwakku Indika Symmetry Classes and the Idempotent Property of a Symmetrizer 5) Zhuo-Heng He The Complete Equivalence Canonical Form of Four Matrices over an Arbitrary Division Ring 6)Matthew Ragland Alternate Proof to Derek Robinson's 1968 Local Characterization Theorem on TGroups 7) Jianzhen Liu Star-Shapedness and Adjoint Orbits Associated with Semisimple Lie Algebras8)Christopher Cyr Nilpotent Subgroups and Semipermutability in some Simple Groups 9)Ulrich Albrecht Valuated Baer-Groups Irfan Bagci Weyl Modules and Weyl Functors for Lie Superalgebras 10) Daniel Herden More on Local Automorphisms of FI(P)'s 11)Nham Ngo Rational Singularities of G-Saturation 12) Richard LeBlanc FI-Extending Hulls of Abelian Groups13) Piyush Shroff Relationship between Color Lie Algebras and Quantum Drinfeld Orbifold Algebras 14)Gary Birkenmeier A Description of Indecomposable QuasiFrobenius Rings 15)Lauren Grimley Group Extensions of Quantum Exterior Algebras